We have two possible definitions of an "iterateM" function:
iterateM 0 _ _ = return []
iterateM n f i = (i:) <$> (iterateM (n-1) f =<< f i)
iterateM n f i = sequence . scanl (>>=) (return i) $ replicate n f
The former uses primitive recursion, and I get the feeling it should
be better written without it. The latter is quadratic time – it
builds up a list of monadic actions, and then runs them each in turn.
Can anyone think of a version that combines the benefits of the two?
Bob